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11855117424 = 2432352120611
BaseRepresentation
bin10110000101001111…
…01011110001110000
31010121012111100211010
423002213223301300
5143234402224144
65240212150520
7566531556363
oct130247536160
933535440733
1011855117424
1150339a5207
12236a308440
13116c137ca7
148066a60da
15495ba25b9
hex2c29ebc70

11855117424 has 80 divisors (see below), whose sum is σ = 32020164864. Its totient is φ = 3772454400.

The previous prime is 11855117419. The next prime is 11855117509. The reversal of 11855117424 is 42471155811.

It is a happy number.

11855117424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564879 + ... + 585489.

Almost surely, 211855117424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11855117424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16010082432).

11855117424 is an abundant number, since it is smaller than the sum of its proper divisors (20165047440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11855117424 is a wasteful number, since it uses less digits than its factorization.

11855117424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21166 (or 21160 counting only the distinct ones).

The product of its digits is 44800, while the sum is 39.

The spelling of 11855117424 in words is "eleven billion, eight hundred fifty-five million, one hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 521 552 1042 1104 1563 2084 3126 4168 6252 8336 11983 12504 20611 23966 25008 35949 41222 47932 61833 71898 82444 95864 123666 143796 164888 191728 247332 287592 329776 474053 494664 575184 948106 989328 1422159 1896212 2844318 3792424 5688636 7584848 10738331 11377272 21476662 22754544 32214993 42953324 64429986 85906648 128859972 171813296 246981613 257719944 493963226 515439888 740944839 987926452 1481889678 1975852904 2963779356 3951705808 5927558712 11855117424